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Herz-Morrey空间上多线性Littlewood-Paley算子的有界性 被引量:1

BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON HERZ-MORREY SPACES
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摘要 设g_ψ~A为多线性Littlewood-Paley算子,在g_ψ~A的加权L^p(ω)有界性的基础上,对Herz-Morrey空间中此类算子进行了讨论,并得到了BMO有界的估计. Let gψ^A A be the multilinear Littlewood-Paley operators,the properties of gψ^A on the Herz-Morrey space is investigated on the basis of the weighted LP(w)-boundedness of gψ^A And the BMO estimates for the operator on the Herz-Morrey space are obtained.
出处 《系统科学与数学》 CSCD 北大核心 2010年第5期650-658,共9页 Journal of Systems Science and Mathematical Sciences
基金 安徽省自然科学基金重点科研项目(07021019) 安徽高校自然科学研究项目(KJ2007A009)
关键词 多线性Littlewood-Paley算子 齐次Herz—Morrey空间. Multilinear Littlewood-wood Paley operator, homogeneous Herz-Morrey spaces.
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  • 1Ding Y.Weak type bounds for a class of rough operators with power weights[].Proceedings of the American Mathematical Society.1997
  • 2Bajanski B,Coifman R.On singular integrals[].ProcSymposPure MathAmerMathSoc.1967
  • 3Cohen J.A sharp estimate for a multilinear singular integral on Rn[].Indiana University Mathematics Journal.1981
  • 4Cohen J,Gosselin J.A BMO estimate for multilinear singular integrals[].Illinois Journal of Mathematics.1986
  • 5Garcia-Cuerva J,Rubio de Francia JL.Weighted norm inequalities and related topics[].North-Holland Mathematics Studies.1985
  • 6L. Hedberg.On certain convolution inequalities[].Proceedings of the American Mathematical Society.1972
  • 7Y. Ding.On the commutators for a class of rough operators, (in Chinese), Chinese Ann[].Mathematica Journal.1998
  • 8S.Hofmann.On some nonstandard Calderón-Zygmund operators[].Studia Mathematica.1994
  • 9Y.Ding.Weighted boundedness of commutators for a class of rough maximal operators[].Kexue Tongbao.1996
  • 10陆善镇,杨大春.The weighted Herz-type Hardy space and its applications[J].Science China Mathematics,1995,38(6):662-673. 被引量:71

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